0.123 as a Fraction in Lowest Terms
Introduction
In mathematics, fractions are used to represent a part of a whole. They can be written in different forms, including decimal form. In this article, we will explore how to convert the decimal 0.123 into a fraction in its lowest terms.
What is a Fraction in Lowest Terms?
A fraction is said to be in its lowest terms when the numerator (the top number) and the denominator (the bottom number) have no common factors other than 1. This means that the fraction cannot be simplified further.
Converting 0.123 into a Fraction
To convert the decimal 0.123 into a fraction, we can use the following steps:
Step 1: Divide the decimal by the appropriate power of 10
Since 0.123 has three decimal places, we can divide it by 1000 (10^3) to get an integer:
0.123 × 1000 = 123
Step 2: Write the result as a fraction
Now, we can write the result as a fraction:
123/1000
Step 3: Simplify the fraction (if possible)
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 123 and 1000 is 1, so the fraction is already in its lowest terms.
Result
The decimal 0.123 can be written as a fraction in its lowest terms as:
41/333
This fraction is in its simplest form, as there are no common factors between the numerator (41) and the denominator (333) other than 1.
Conclusion
In this article, we have successfully converted the decimal 0.123 into a fraction in its lowest terms. The result is 41/333, which is a simplified fraction with no common factors other than 1.
